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Finding the Third Proportional to 24,243.75 and 52,179.75

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Solution

The third proportional to 24,243.75 and 52,179.75 is: 112,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.75 : 52,179.75 = 52,179.75 : x
  2. Step 2: Convert to fraction form
    24,243.75/52,179.75 = 52,179.75/x
  3. Step 3: Cross multiply
    24,243.75x = 52,179.75 × 52,179.75
  4. Step 4: Simplify right side
    24,243.75x = 2,722,726,310.06
  5. Step 5: Solve for x
    x = 2,722,726,310.06/24,243.75
  6. Step 6: Final answer
    x = 112,306.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.